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词条 Hans Weinberger
释义

  1. Selected articles

  2. Books

  3. See also

  4. References

Hans F. Weinberger (September 27, 1928 in Vienna - September 15, 2017 in Durham, North Carolina)[1] was an Austrian-American mathematician, known for his contributions

to variational methods for eigenvalue problems, partial differential equations, and fluid dynamics.

He obtained an M.S. in physics from Carnegie Institute of Technology (1948) where he also got his Sc.D. on the

thesis Fourier Transforms of Moebius Series advised by Richard Duffin (1950).[2]

He then worked at the institute for Fluid Dynamics at University of Maryland, College Park (1950–60),

and as professor at University of Minnesota (1961–98) where he was department head (1967–69) and

now is Professor Emeritus (1998–). Weinberger was the first director of Institute for Mathematics and its Applications (1981–87). Weinberger served as the IMA's first director from 1982 to 1987, and under his leadership, the IMA quickly became known for cutting-edge scientific programs, a collaborative atmosphere, and as a training ground for postdoctoral researchers. During his tenure, Weinberger was very engaged in scientific life at the IMA, attending lectures and collaborating with visitors and postdocs. His presence at these lectures usually meant that the toughest and most penetrating questions were asked.

While well known for his contributions to the analysis of partial differential equations, especially eigenvalue problems, Weinberger turned his attention to mathematical biology later in his career. He remained active in research throughout his life and authored several papers after his retirement in 1998. Weinberger was elected a member of the American Academy of Arts and Sciences in 1986 and was in the inaugural class of the American Mathematical Society Fellows in 2012 American Mathematical Society.[3]

Selected articles

  • {{cite journal|title=An inequality with alternating signs|journal=Proc Natl Acad Sci U S A|year=1952|volume=38|issue=7|pages=611–613|pmc=1063623|doi=10.1073/pnas.38.7.611|pmid=16589155}}
  • with J. B. Diaz: {{cite journal|title=Error estimation in the Weinstein method for eigenvalues|journal=Proc. Amer. Math. Soc.|year=1952|volume=3|issue=4|pages=643–646|mr=0050177|doi=10.1090/s0002-9939-1952-0050177-5}}
  • {{cite journal|title=A solution of the singular initial value problem for the Euler-Poisson-Darboux equation|journal=Proc. Amer. Math. Soc.|year=1953|volume=4|issue=5|pages=703–715|mr=0058099|doi=10.1090/s0002-9939-1953-0058099-1}}
  • {{cite journal|title=Error bounds in the Rayleigh-Ritz approximation of eigenvectors|journal=Journal of Research of the National Bureau of Standards|volume=64B|year=1960|pages=216–225|url=http://nvlpubs.nist.gov/nistpubs/jres/64B/jresv64Bn4p217_A1b.pdf|doi=10.6028/jres.064b.023}}
  • {{cite journal|title=On bounding harmonic functions by linear interpolation|journal=Bull. Amer. Math. Soc.|year=1964|volume=70|issue=4|pages=525–529|mr=0162953|doi=10.1090/s0002-9904-1964-11183-6}}
  • with M. H. Protter: {{cite journal|title=On the spectrum of general second order operators|journal=Bull. Amer. Math. Soc.|year=1966|volume=72|issue=2|pages=251–255|mr=0190527|doi=10.1090/s0002-9904-1966-11485-4}}

Books

  • A First Course in Partial Differential Equations (Dover, 1995)
  • Maximum Principles in Differential Equations (Prentice-Hall, 1967; Springer, 1985). With Murray H. Protter.
  • Variational Methods for Eigenvalue Approximation, C.B.M.S. Regional Conference Series in Applied Mathematics #15, S.I.A.M., Philadelphia, 1974.

See also

  • Davis–Kahan–Weinberger dilation theorem

References

1. ^homepage
2. ^{{MathGenealogy|10297}}
3. ^List of Fellows of the American Mathematical Society, retrieved 2013-09-01.
{{Authority control}}{{DEFAULTSORT:Weinberger, Hans}}

10 : American mathematicians|Austrian mathematicians|Carnegie Mellon University alumni|University of Maryland, College Park faculty|University of Minnesota faculty|American people of Austrian descent|Scientists from Vienna|Fellows of the American Mathematical Society|1928 births|2017 deaths

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